English

Naturally graded 2-filiform Leibniz algebras

Rings and Algebras 2016-08-16 v1

Abstract

The Leibniz algebras appear as a generalization of the Lie algebras \cite{loday}. The classification of naturally graded pp-filiform Lie algebras is known \cite{C-G-JM}, \cite{J.Lie.Theory}, \cite{AJM}, \cite{Ve}. In this work we deal with the classification of 2-filiform Leibniz algebras. The study of pp-filiform Leibniz non Lie algebras is solved for p=0p=0 (trivial) and p=1p=1 \cite{Omirov1}. In this work we get the classification of naturally graded non Lie 2-filiform Leibniz algebras.

Keywords

Cite

@article{arxiv.math/0611646,
  title  = {Naturally graded 2-filiform Leibniz algebras},
  author = {L. M. Camacho and J. R. Gómez and A. J. González and B. A. Omirov},
  journal= {arXiv preprint arXiv:math/0611646},
  year   = {2016}
}

Comments

15 pages

R2 v1 2026-07-22T17:46:41.905Z